Translations and reflections practice
Translation: A translation involves moving an object or figure from one location to another without changing its shape or orientation. This can be done by sliding the object along a straight line in a specified direction.
Reflection: A reflection involves flipping an object or figure over a line called the line of reflection. Each point on the object is reflected across the line to its image, resulting in a mirror image of the original object.
Practice:
1) Translate the triangle with vertices at (1, 2), (4, 5), and (6, 1) by adding 3 to the x-coordinates and 1 to the y-coordinates.
Solution: The new vertices of the translated triangle are: (4, 3), (7, 6), and (9, 2).
2) Reflect the rectangle with vertices at (-2, 1), (-2, 3), (2, 3), and (2, 1) over the y-axis.
Solution: The new vertices of the reflected rectangle are: (2, 1), (2, 3), (-2, 3), and (-2, 1).
3) Translate the point (4, -2) by subtracting 2 from the x-coordinate and adding 3 to the y-coordinate.
Solution: The new coordinates of the translated point are: (2, 1).
4) Reflect the line segment with endpoints at (-3, -2) and (5, 4) over the x-axis.
Solution: The new endpoints of the reflected line segment are: (-3, 2) and (5, -4).
5) Translate the circle with center at (2, -1) by adding 1 to the x-coordinate and subtracting 3 from the y-coordinate.
Solution: The new center of the translated circle is: (3, -4).